freeCodeCamp/curriculum/challenges/english/08-coding-interview-prep/project-euler/problem-231-the-prime-factorisation-of-binomial-coefficients.english.md

id	challengeType	title	forumTopicId
5900f4531000cf542c50ff66	5	Problem 231: The prime factorisation of binomial coefficients	301875

Description

The binomial coefficient 10C3 = 120. 120 = 23 × 3 × 5 = 2 × 2 × 2 × 3 × 5, and 2 + 2 + 2 + 3 + 5 = 14. So the sum of the terms in the prime factorisation of 10C3 is 14.

Find the sum of the terms in the prime factorisation of 20000000C15000000.

Instructions

Tests

tests:
  - text: <code>euler231()</code> should return 7526965179680.
    testString: assert.strictEqual(euler231(), 7526965179680);

Challenge Seed

function euler231() {
  // Good luck!
  return true;
}

euler231();

Solution

// solution required